03493nam 22006495 450 991043814860332120200630031725.03-658-00360-X10.1007/978-3-658-00360-9(CKB)3400000000086114(EBL)1082980(OCoLC)811621824(SSID)ssj0000803018(PQKBManifestationID)11438429(PQKBTitleCode)TC0000803018(PQKBWorkID)10805633(PQKB)10960874(DE-He213)978-3-658-00360-9(MiAaPQ)EBC1082980(MiAaPQ)EBC6315282(PPN)168330695(EXLCZ)99340000000008611420120918d2013 u| 0engur|n|---|||||txtccrLattices and Codes A Course Partially Based on Lectures by Friedrich Hirzebruch /by Wolfgang Ebeling3rd ed. 2013.Wiesbaden :Springer Fachmedien Wiesbaden :Imprint: Springer Spektrum,2013.1 online resource (176 p.)Advanced Lectures in Mathematics,0932-7134Description based upon print version of record.3-658-00359-6 Includes bibliographical references (p. 159-162) and index.Lattices and Codes -- Theta Functions and Weight Enumerators -- Even Unimodular Lattices -- The Leech Lattice -- Lattices over Integers of Number Fields and Self-Dual Codes.The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure mathematics. In this book, examples of such connections are presented. The relation between lattices studied in number theory and geometry and error-correcting codes is discussed. The book provides at the same time an introduction to the theory of integral lattices and modular forms and to coding theory. In the 3rd edition, again numerous corrections and improvements have been made and the text has been updated. Content Lattices and Codes -Theta Functions and Weight Enumerators - Even Unimodular Lattices - The Leech Lattice - Lattices over Integers of Number Fields and Self-Dual Codes. Readership Graduate Students in Mathematics and Computer Science Mathematicians and Computer Scientists About the Author Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany.Advanced Lectures in Mathematics,0932-7134MathematicsAlgebraMathematics, generalhttps://scigraph.springernature.com/ontologies/product-market-codes/M00009Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11000Mathematics.Algebra.Mathematics, general.Algebra.510Ebeling Wolfgangauthttp://id.loc.gov/vocabulary/relators/aut57320Hirzebruch Friedrich41862MiAaPQMiAaPQMiAaPQBOOK9910438148603321Lattices and Codes2877784UNINA01458nam2 22003133i 450 VAN0026632220240806101520.250978-88-921393-8-120231107d2023 |0itac50 baitaIT|||| |||||1: Questioni di metodoGianmaria Ajani, Domenico Francavilla, Barbara PasaTorinoGiappichelli2023XI, 201 p.24 cm001VAN002663142001 Diritto comparatoGianmaria Ajani, Domenico Francavilla, Barbara Pasa210 TorinoGiappichelli2023215 3 volumi24 cm1VAN00267682Questioni di metodo746291TorinoVANL000001AjaniGianmariaVANV034650FrancavillaDomenicoVANV025658PasaBarbaraVANV004698Giappichelli <editore>VANV107921650ITSOL20240906RICAhttps://www.giappichelli.it/diritto-comparato-9788892139404https://www.giappichelli.it/diritto-comparato-9788892139404VAN00266322BIBLIOTECA DEL DIPARTIMENTO DI GIURISPRUDENZA00CONS VII.C.36 00UBG9219 1 20231107 BIBLIOTECA DEL DIPARTIMENTO DI GIURISPRUDENZA00CONS VII.C.36 bis 00UBG9698 1 20240118 Questioni di metodo746291UNICAMPANIA